Question
If the difference between average of first five
multiples of ‘x’ and first five multiples of ‘3x’ is 162, then what is the value of ‘x’?Solution
First five multiples of ‘x’ are ‘x’, ‘2x’, ‘3x’, ‘4x’ and ‘5x’
Average of first five multiples of ‘x’ = {(5x + x)/2} = ‘3x’
First five multiples of ‘3x’ are ‘3x’, ‘6x’, ‘9x’, ‘12x’ and ‘15x’
Average of first five multiples of ‘3x’ = {(15x + 3x)/2} = ‘9x’
ATQ;
9x – 3x = 162
Or, 6x = 162
Or, x = 27
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